MaplePrimes Questions

Hi,

I have this taylor series expansion:

> taylor(exp(-x)*sin(x), x, 11);

Now I need to do a legendre economization. So I want to write x, x², x³ etc (from the taylor series) as linear combinations of the Legendre polynomials. My idea was to simply write something like:

>solve({aP(0,x)+bP(1,x)+cP(2,x) = x²}, {a,b,c});

This is supposed to give coefficients for the legendre expansion of x². This doesn't work because it gives solutions in terms of x, which is useless to me. Is there any way?

Good Morning, I´m sorry, but be unable to write English. I have following problem:

I need draw curve.

This is all right:

with(DEtools); with(plots):

r1 := diff(x(t), t) = (x(t)-y(t))/sqrt(x(t)^2+y(t)^2);

r2 := diff(y(t), t) = (x(t)+y(t))/sqrt(x(t)^2+y(t)^2);

sys := {r1, r2};

DEplot(sys, {x(t), y(t)}, t = 0 .. 1, x = -1 .. 1, y = -1 .. 1, stepsize = 0.5);

I am running Maple 12 in OSX. I am trying to calculate the order of a group. I know my group is finite, but is very large. The environment variable _EnvMaxCosetsToddCoxeter is set by default to 128000 (see help pages: group,pres) but I need it to be much higher. Does anyone know how I could go about changing it?

hi everyone,

I've heard there's a possibility to plot graphics with scrollbars attached to them. These scrollbars allow for modification of the parameters of the given function and the following instant graphical results .

any ideas  ?

Thanks in advance,

Yoeri.

 

Here is my code but I'm having trouble getting it to work

d := sigma(m)-m; Amicable := proc (m) local n; for m from 2 to 100000 do n := d(m); if d(n) = m then print*m, n end if end do end proc

Would appreciate any advice you guys might have.

Thanks.

Suppose I solved for an arbitrary

because i'v got error like this "can only numerically solve PDE with two independent variables, got {x, y, t}"

 I have been provided with a sequence defined as such,

a_0=1 and b_0=1/surd(2,3)

a_n+1=(1/3)*(a_n+2*b_n) and b_n+1=surd((1/3)*(b_n*(a_n^2+a_n*b_n+b_n^2)),3)

and have been asked to come up with a loop to check the value to which both {a_n} and {b_n} converge.

How do I go about doing this?

Thanks for the help in advance.

Maple not working don't know what is wrond????

 

HELP!!!

 

http://www.mediafire.com/?nbzczfmyyro

I have a nasty expression that solves for eigenvalues of pressure & shear waves propagating along an interface between 2 elastic media.  There are many roots to this expression for eta, but many of them can be excluded because the material properties are both REAL & POSITIVE.  I am very new to MAPLE & I am attempting to get it to solve for the roots where all of the other parameters meet the conditions of REAL & POSITIVE but I am not sure I am doing this correctly because MAPLE runs off to evaluation mode & takes so much memory my computer slows to a crawl &

I put the following into Maple (12) A := 2*x*z+2*z*y+x*y V := x*y*z sys := {A= S, diff(V, x) = lambda*(diff(A, x)), diff(V, y) = lambda*(diff(A, y)), diff(V, z) = lambda*(diff(A, z))} S being a constant solve(sys, [x, y, z, lambda]); and got: [[x = RootOf(3*_Z^2-S, label = _L1), y = RootOf(3*_Z^2-S, label = _L1), z = (1/2)*RootOf(3*_Z^2-S, label = _L1), lambda = (1/4)*RootOf(3*_Z^2-S, label = _L1)]] which makes no sense to me... How can I enter this system into maple and get an answer? (the system is gradA=gradV and A=S, S being a constant, which is shown above) Thanks!

Hi,

 

> restart;
> read "D:/Data/Data7/Advisor/csum.m";
> a :=n ->  (5/n)^(1/n);
> csum(a(n), n);

                                    false

But

 

ok,

my first quations is: How can I get  V(F(x), G(x)) in the last expression in the below picture evaluated at the end point t and T. 

The solution should be a vertical line to the right-hand side of the expression

 

My second quation is: Is there any way I can sequentialy solve the problem without having to manually rewrite the equations

 

 

Is it possible to easily use a procedure that I create in one worksheet in other worksheets (i.e. make it into a loadable package) without having to cut and paste the whole procedure text into each worksheet that I want to use it in?  It is a bit of a pain to have to do manual version management of my particular procedure in each sheet when I use it in a number of different files.

Hi everybody,

I have to solve a symbolic equation.

Therefore I use the convenient solve command.

The problem is, that the result I get is not the one I need. It is a correct soultion though. The equation has two solutions.

So how can I get more results out of the solve command.

I found "_EnvAllSolutions:= true;"

Unfortunately this made only disappear the Warning: Warning, solutions may have been lost" without producing any more solutions.

Regards

Kalle

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